Submanifolds of a Conformal Sasakian manifold
DOI:
https://doi.org/10.5269/bspm.36914Keywords:
conformal Sasakian manifold, Sasakian manifold,Abstract
In the present paper, some results on geometry of conformal Sasakian manifolds and their associated submanifolds are provided. Besides this an example of a three-dimensional conformal Sasakian manifold is constructed for illustration that is not Sasakian manifold.References
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2. Dragomir, S., Ornea, L., Locally conformal Kaehler Geometry, Prog. Math. V 155, (1998).
3. Libermann, P., Sur les structures infinitesimales regulieres, Bull Soc. Math. France, V. 83, 195-224, (1955).
4. Vaisman, I., A geometric condition for a locally conformal kaehler to be kaehler. Geom. Dedicata., 10, 129-136, 1981).
5. Tricerri, F., Some examples of locally conformal Kaehler manifolds. Rend. Mat. Univ. Politecn. Torino., 40, 81-92, (1982).
6. Abedi, E., Ziabari, R. B., Tripathi, M. M., Ricci and scalar curvatures of submanifolds of a conformal Sasakian space form, Archivum Mathematicum (Brno) Tomus, 52, 113-130, (2016).
7. Gray, A., Hervella, L. M., Sixteen classes of almost Hermitian manifold and their linear invariants, Ann. Math. Pure Appl., 123 (3), 35-58, (1980).
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2020-10-07
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